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Journals / Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi / 2023 / Cilt: 23 Sayı: 6

Lacunary I^*-Convergence and Lacunary I^*-Cauchy Sequence

Lacunary I^*-Yakınsaklık ve Lacunary I^*-Cauchy Dizisi

Nimet Pancaroğlu Akın(AFYON KOCATEPE UNIVERSITY)0000-0003-4661-5388
Şeyma Yalvaç(AFYON KOCATEPE UNIVERSITY)0000-0003-2516-4485
Erdinç Dündar(AFYON KOCATEPE ÜNİVERSİTESİ)0000-0002-0545-7486
Pages
1434–1439
Publication Date
2023-12-28
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Additionally, at the end of the study, we examined the relation between lacunary I^*-convergence and lacunary I-Cauchy sequence.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study conducted, firstly, we defined the concept of lacunary I^*-convergence and we investigated the relations between lacunary I-convergence and lacunary I^*-convergence.
📊
Key Findings & Data:Then, we defined the concept of lacunary I^*-Cauchy sequence and investigated the relations between lacunary I-Cauchy sequence and lacunary I^*-Cauchy sequence.
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Conclusion & Impact:Additionally, at the end of the study, we examined the relation between lacunary I^*-convergence and lacunary I-Cauchy sequence.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:İdeal · Lacunary dizi · I-yakınsaklık

Abstract

In this study conducted, firstly, we defined the concept of lacunary I^*-convergence and we investigated the relations between lacunary I-convergence and lacunary I^*-convergence. Then, we defined the concept of lacunary I^*-Cauchy sequence and investigated the relations between lacunary I-Cauchy sequence and lacunary I^*-Cauchy sequence. Additionally, at the end of the study, we examined the relation between lacunary I^*-convergence and lacunary I-Cauchy sequence.

Özet

Yapılan bu çalışmada, öncelikle, lacunary I^*-yakınsaklık kavramı tanımlandı ve lacunary I-yakınsaklık kavramı ile lacunary I^*-yakınsaklık kavramı arasındaki ilişkiler incelendi. Daha sonra, lacunary I^*-Cauchy dizi kavramı tanımladı ve lacunary I-Cauchy dizisi ile lacunary I^*-Cauchy dizisi arasındaki ilişkiler araştırıldı. Ayrıca, çalışmanın sonunda, lacunary I-yakınsaklık kavramı ile I-Cauchy dizisi kavramı arasındaki ilişki ele alındı.

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Cite This Article

Akın, N. P., Yalvaç, Ş., Dündar, E. (2023). Lacunary I^*-Convergence and Lacunary I^*-Cauchy Sequence. Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi, Cilt: 23 Sayı: 6, 1434–1439. https://doi.org/10.35414/akufemubid.1332740

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